36166623120 has 560 divisors, whose sum is σ = 134274263040. Its totient is φ = 9029615616.

The previous prime is 36166623109. The next prime is 36166623151. The reversal of 36166623120 is 2132666163.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 140726032 + ... + 140726288.

Almost surely, 2^36166623120 is an apocalyptic number.

36166623120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36166623120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67137131520).

36166623120 is an abundant number, since it is smaller than the sum of its proper divisors (98107639920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36166623120 is a wasteful number, since it uses less digits than its factorization.

36166623120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 36166623120 in words is "thirty-six billion, one hundred sixty-six million, six hundred twenty-three thousand, one hundred twenty".